Matches in SemOpenAlex for { <https://semopenalex.org/work/W1642415801> ?p ?o ?g. }
- W1642415801 abstract "In contrast to the usual Lipschitz seminorms associated to ordinary metrics on compact spaces, we show by examples that Lipschitz seminorms on possibly non-commutative compact spaces are usually not determined by the restriction of the metric they define on the state space, to the extreme points of the state space. We characterize the Lipschitz norms which are determined by their metric on the whole state space as being those which are lower semicontinuous. We show that their domain of Lipschitz elements can be enlarged so as to form a dual Banach space, which generalizes the situation for ordinary Lipschitz seminorms. We give a characterization of the metrics on state spaces which come from Lipschitz seminorms. The natural (broader) setting for these results is provided by the ``function spaces'' of Kadison. A variety of methods for constructing Lipschitz seminorms is indicated." @default.
- W1642415801 created "2016-06-24" @default.
- W1642415801 creator A5071891619 @default.
- W1642415801 date "1999-06-22" @default.
- W1642415801 modified "2023-10-01" @default.
- W1642415801 title "Metrics on State Spaces" @default.
- W1642415801 cites W1602423691 @default.
- W1642415801 cites W1608564739 @default.
- W1642415801 cites W1981014057 @default.
- W1642415801 cites W1987872206 @default.
- W1642415801 cites W1997411957 @default.
- W1642415801 cites W2022689799 @default.
- W1642415801 cites W2031960995 @default.
- W1642415801 cites W2046267801 @default.
- W1642415801 cites W2072718083 @default.
- W1642415801 cites W2077978120 @default.
- W1642415801 cites W2092793871 @default.
- W1642415801 cites W2107587757 @default.
- W1642415801 cites W2167064216 @default.
- W1642415801 cites W2169397299 @default.
- W1642415801 cites W2254463431 @default.
- W1642415801 cites W2296354179 @default.
- W1642415801 cites W2318416425 @default.
- W1642415801 cites W2911124353 @default.
- W1642415801 cites W2949767194 @default.
- W1642415801 cites W3038830718 @default.
- W1642415801 cites W57245812 @default.
- W1642415801 cites W583356579 @default.
- W1642415801 hasPublicationYear "1999" @default.
- W1642415801 type Work @default.
- W1642415801 sameAs 1642415801 @default.
- W1642415801 citedByCount "100" @default.
- W1642415801 countsByYear W16424158012012 @default.
- W1642415801 countsByYear W16424158012013 @default.
- W1642415801 countsByYear W16424158012014 @default.
- W1642415801 countsByYear W16424158012015 @default.
- W1642415801 countsByYear W16424158012016 @default.
- W1642415801 countsByYear W16424158012017 @default.
- W1642415801 countsByYear W16424158012018 @default.
- W1642415801 countsByYear W16424158012019 @default.
- W1642415801 countsByYear W16424158012020 @default.
- W1642415801 countsByYear W16424158012021 @default.
- W1642415801 countsByYear W16424158012022 @default.
- W1642415801 crossrefType "posted-content" @default.
- W1642415801 hasAuthorship W1642415801A5071891619 @default.
- W1642415801 hasConcept C111919701 @default.
- W1642415801 hasConcept C11413529 @default.
- W1642415801 hasConcept C118615104 @default.
- W1642415801 hasConcept C120665830 @default.
- W1642415801 hasConcept C121332964 @default.
- W1642415801 hasConcept C132954091 @default.
- W1642415801 hasConcept C134306372 @default.
- W1642415801 hasConcept C13474197 @default.
- W1642415801 hasConcept C14036430 @default.
- W1642415801 hasConcept C142730499 @default.
- W1642415801 hasConcept C145084290 @default.
- W1642415801 hasConcept C146562557 @default.
- W1642415801 hasConcept C162324750 @default.
- W1642415801 hasConcept C176217482 @default.
- W1642415801 hasConcept C183778304 @default.
- W1642415801 hasConcept C196613150 @default.
- W1642415801 hasConcept C198043062 @default.
- W1642415801 hasConcept C202444582 @default.
- W1642415801 hasConcept C21547014 @default.
- W1642415801 hasConcept C22324862 @default.
- W1642415801 hasConcept C2778572836 @default.
- W1642415801 hasConcept C2780841128 @default.
- W1642415801 hasConcept C33923547 @default.
- W1642415801 hasConcept C41008148 @default.
- W1642415801 hasConcept C48103436 @default.
- W1642415801 hasConcept C78458016 @default.
- W1642415801 hasConcept C86803240 @default.
- W1642415801 hasConceptScore W1642415801C111919701 @default.
- W1642415801 hasConceptScore W1642415801C11413529 @default.
- W1642415801 hasConceptScore W1642415801C118615104 @default.
- W1642415801 hasConceptScore W1642415801C120665830 @default.
- W1642415801 hasConceptScore W1642415801C121332964 @default.
- W1642415801 hasConceptScore W1642415801C132954091 @default.
- W1642415801 hasConceptScore W1642415801C134306372 @default.
- W1642415801 hasConceptScore W1642415801C13474197 @default.
- W1642415801 hasConceptScore W1642415801C14036430 @default.
- W1642415801 hasConceptScore W1642415801C142730499 @default.
- W1642415801 hasConceptScore W1642415801C145084290 @default.
- W1642415801 hasConceptScore W1642415801C146562557 @default.
- W1642415801 hasConceptScore W1642415801C162324750 @default.
- W1642415801 hasConceptScore W1642415801C176217482 @default.
- W1642415801 hasConceptScore W1642415801C183778304 @default.
- W1642415801 hasConceptScore W1642415801C196613150 @default.
- W1642415801 hasConceptScore W1642415801C198043062 @default.
- W1642415801 hasConceptScore W1642415801C202444582 @default.
- W1642415801 hasConceptScore W1642415801C21547014 @default.
- W1642415801 hasConceptScore W1642415801C22324862 @default.
- W1642415801 hasConceptScore W1642415801C2778572836 @default.
- W1642415801 hasConceptScore W1642415801C2780841128 @default.
- W1642415801 hasConceptScore W1642415801C33923547 @default.
- W1642415801 hasConceptScore W1642415801C41008148 @default.
- W1642415801 hasConceptScore W1642415801C48103436 @default.
- W1642415801 hasConceptScore W1642415801C78458016 @default.
- W1642415801 hasConceptScore W1642415801C86803240 @default.
- W1642415801 hasLocation W16424158011 @default.